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Simplifying 4(8 + -5w) = -2(w + 2) (8 * 4 + -5w * 4) = -2(w + 2) (32 + -20w) = -2(w + 2) Reorder the terms: 32 + -20w = -2(2 + w) 32 + -20w = (2 * -2 + w * -2) 32 + -20w = (-4 + -2w) Solving 32 + -20w = -4 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 32 + -20w + 2w = -4 + -2w + 2w Combine like terms: -20w + 2w = -18w 32 + -18w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 32 + -18w = -4 + 0 32 + -18w = -4 Add '-32' to each side of the equation. 32 + -32 + -18w = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -18w = -4 + -32 -18w = -4 + -32 Combine like terms: -4 + -32 = -36 -18w = -36 Divide each side by '-18'. w = 2 Simplifying w = 2
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